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Finding the Fourth Proportional to 578.04, 855.26 and 576.42

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Solution

The fourth proportional to 578.04, 855.26 and 576.42 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 855.26 = 576.42 : x
  2. Step 2: Convert to fraction form
    578.04/855.26 = 576.42/x
  3. Step 3: Cross multiply
    578.04x = 855.26 × 576.42
  4. Step 4: Simplify right side
    578.04x = 492,988.97
  5. Step 5: Solve for x
    x = 492,988.97/578.04
  6. Step 6: Final answer
    x = 852.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.